(Solved): Problem 02: Use the p-value method of hypothesis testing to test the given claim. Assume that t ...

Problem 02: Use the $p$-value method of hypothesis testing to test the given claim. Assume that two dependent samples have been randomly selected from normally distributed populations. Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the viewing. Answer in a small paragraph: What will happen to your conclusion if you increace the significance level and what if you decrease the significance level? Is the significance level of 0.05 suitable for this type of application? In what type of applications we usually see extremely small significance levels? Can you provide 3 examples?